\contentsline {chapter}{\numberline {1}Introduction}{1}{chapter.2}
\contentsline {section}{\numberline {1.1}Motivation}{2}{section.3}
\contentsline {section}{\numberline {1.2}Statistical LMS Channel Model}{3}{section.4}
\contentsline {subsection}{\numberline {1.2.1}Three-State Statistical LMS channel model}{3}{subsection.5}
\contentsline {subsection}{\numberline {1.2.2}Two-State Statistical LMS channel model}{3}{subsection.6}
\contentsline {section}{\numberline {1.3}Problem statement for Two-State channel model}{4}{section.8}
\contentsline {section}{\numberline {1.4}Issues Related to Segmentation}{6}{section.9}
\contentsline {section}{\numberline {1.5}State of the art}{8}{section.13}
\contentsline {chapter}{\numberline {2}Overview of Segmentation Methodology}{10}{chapter.14}
\contentsline {section}{\numberline {2.1}Change Classification}{11}{section.15}
\contentsline {section}{\numberline {2.2}Stationarity Change Detection Algorithms Taxonomy}{13}{section.18}
\contentsline {subsection}{\numberline {2.2.1}Online Change Detection}{14}{subsection.20}
\contentsline {subsubsection}{\numberline {2.2.1.1}Statistical Parameter Change Detection}{14}{subsubsection.21}
\contentsline {subsection}{\numberline {2.2.2}Off-line Change Detection}{14}{subsection.22}
\contentsline {subsubsection}{\numberline {2.2.2.1}Segmentation}{15}{subsubsection.23}
\contentsline {subsubsection}{\numberline {2.2.2.2}Clustering}{15}{subsubsection.24}
\contentsline {section}{\numberline {2.3}Change Detection Operational Blocks}{16}{section.25}
\contentsline {section}{\numberline {2.4}Signal Model for change detection}{17}{section.27}
\contentsline {chapter}{\numberline {3}Non-parametric change detection}{19}{chapter.30}
\contentsline {section}{\numberline {3.1}Single Filter Change Detection}{20}{section.31}
\contentsline {subsection}{\numberline {3.1.1}Signal Model}{20}{subsection.32}
\contentsline {subsection}{\numberline {3.1.2}Steps of Single Filter change detection}{21}{subsection.35}
\contentsline {subsection}{\numberline {3.1.3}Residual Generation}{22}{subsection.37}
\contentsline {subsubsection}{\numberline {3.1.3.1}Smoothing Filter as Residual Generator}{23}{subsubsection.38}
\contentsline {subsubsection}{\numberline {3.1.3.2}Moving Average filter (MA)}{24}{subsubsection.39}
\contentsline {section}{\numberline {3.2}Parametric Change Detection}{26}{section.44}
\contentsline {subsection}{\numberline {3.2.1}Linear Least Square Estimators}{27}{subsection.46}
\contentsline {subsubsection}{\numberline {3.2.1.1}Recursive Least squares (RLS) Estimator}{27}{subsubsection.49}
\contentsline {section}{\numberline {3.3}Results smoothing filters}{31}{section.68}
\contentsline {section}{\numberline {3.4}correlation}{33}{section.80}
\contentsline {section}{\numberline {3.5}Correlation Coefficient Matrix (CCM)}{40}{section.83}
\contentsline {section}{\numberline {3.6}Correlation Matrix Distance (CMD)}{42}{section.86}
\contentsline {section}{\numberline {3.7}Normalized Correlation Matrix Distance (NCMD)}{44}{section.92}
\contentsline {section}{\numberline {3.8}Variable Window Length CMD and NCMD}{48}{section.106}
\contentsline {section}{\numberline {3.9}original chapter 3 starts from here}{49}{section.109}
\contentsline {section}{\numberline {3.10}Local Region of Stationarity (LRS)}{50}{section.110}
\contentsline {section}{\numberline {3.11}Trace-path Correlation Threshold}{52}{section.114}
\contentsline {subsection}{\numberline {3.11.1}Trace-path Correlation Calculation Run bases}{52}{subsection.116}
\contentsline {section}{\numberline {3.12}Trace-path Correlation Threshold with MinStateLength}{54}{section.117}
\contentsline {chapter}{\numberline {4}Results and Analyses}{56}{chapter.119}
\contentsline {section}{\numberline {4.1}MiLADY campaign Measurement}{56}{section.120}
\contentsline {section}{\numberline {4.2}Fast Fading Effect Remove}{59}{section.125}
\contentsline {section}{\numberline {4.3}Correlation Structure Analysis}{60}{section.127}
\contentsline {section}{\numberline {4.4}Effect of window length on CMD and NCMD}{61}{section.129}
\contentsline {section}{\numberline {4.5}Local Region of Stationarity (LRS) Analysis}{63}{section.131}
\contentsline {section}{\numberline {4.6}Trace-path Correlation Threshold Analysis Results}{64}{section.133}
\contentsline {section}{\numberline {4.7}Trace-path Correlation Threshold with MinStateLength Analysis and Results}{65}{section.135}
\contentsline {chapter}{\numberline {5}Comparison of different LMS signal segmentation approaches}{67}{chapter.137}
\contentsline {section}{\numberline {5.1}Comparison of correlation approaches without 'MinStateLength'}{69}{section.142}
\contentsline {section}{\numberline {5.2}Comparison of correlation approaches with 'MinStateLength'}{71}{section.146}
\contentsline {section}{\numberline {5.3}Results of CCM with MinStateLength}{74}{section.151}
\contentsline {chapter}{Bibliography}{78}{chapter*.154}
\contentsline {chapter}{Formelzeichen- und Symbolverzeichnis}{81}{chapter*.155}
\contentsline {chapter}{Abk\"urzungsverzeichnis}{82}{chapter*.159}
\contentsline {chapter}{List of Figures}{83}{chapter*.163}
\contentsline {chapter}{List of Tables}{85}{chapter*.164}
